86958533585968 has 40 divisors (see below), whose sum is σ = 183937855255056. Its totient is φ = 39496684339200.

The previous prime is 86958533585953. The next prime is 86958533586007.

It is a happy number.

86958533585968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186778321 + ... + 187243312.

Almost surely, 2^{86958533585968} is an apocalyptic number.

86958533585968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86958533585968 is an abundant number, since it is smaller than the sum of its proper divisors (96979321669088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86958533585968 is a wasteful number, since it uses less digits than its factorization.

86958533585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374022973 (or 374022967 counting only the distinct ones).

The product of its digits is 67184640000, while the sum is 88.

The spelling of 86958533585968 in words is "eighty-six trillion, nine hundred fifty-eight billion, five hundred thirty-three million, five hundred eighty-five thousand, nine hundred sixty-eight".